On each number line, draw two jumps to show how to use sixths to make a sum of . Then write an equation to represent each combination of jumps.
Noah draws the following diagram and writes: and . Which equation is correct? Explain your reasoning.
Number line. 13 evenly spaced tick marks. First tick mark, 0. Seventh, 1. Thirteenth, 2. Arrow from first tick mark to seventh tick mark. Arrow from seventh tick mark to point at ninth tick mark, labeled eight sixths.
On each number line, draw jumps to show how to use thirds to make a sum of . Then write an equation to represent each combination of jumps.
Write as a sum of a whole number and a fraction.
Activity 2
What Is the Sum?
Use a number line to represent each addition expression and find its value.
Priya says the sum of and is . Kiran says the sum is . Tyler says it is . Do you agree with any of them? Explain or show your reasoning. Use 1 or more number lines if you find them helpful.
Activity 3
Jump Forward
Here are four number lines. There is a point on each number line.
For each number line, label the point with the fraction it represents. This is your target. Make 2 forward jumps to get from 0 to the target.
Pick a card from the set given to you. Use the fraction on it for your first jump. Draw the jump and label it with the fraction.
From that point, draw the second jump to reach the target. What fraction do you need to add? Label the jump with the fraction.
Write an equation to represent the sum of your two fractions.
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